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diamong [38]
2 years ago
11

Test Your Understar2?273 =​

Mathematics
1 answer:
joja [24]2 years ago
6 0

Answer:

273 = 3 x 7 x 13.

273 is 100010001 in base 2 (binary), 333 in base 9, and 111 in base 16.

The 273rd prime minus the sum of gaps between the first 273 consecutive primes minus 1 equals 273.

273 is the sum of each of two consecutive sums of consecutive numbers: 273 = 36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 + 48.

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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
What is the equation of the line that passes through the point (5,3) and has a slope of -1/5 ?
deff fn [24]

Answer: y=-1/5x+4

Step-by-step explanation: use the equation y=mx+b (x,y)->(5,3) 5 is an x value and 3 is a y value so you want to plug in these values into the equation. 3=-1/5(5)+b. We already know our slope so just plug it into m. Now multiply -1/5 and 5 which is -1. 3=-1+b you want to isolate b so you can find the intercept. Add one to both sides so it cancels out. 4=b we found our y-intercept so we can write the equation now. y=-1/5x+4

6 0
2 years ago
The perimeter of a television screen is 94 inches it is 17 inches tall how wide is it
Nadya [2.5K]
<h3>Answer:  30 inches</h3>

==========================================================

Explanation:

x = unknown width

For this rectangle, there are 2 sides of length x, and 2 sides of length 17.

The perimeter is P = 2x+2*17 = 2x+34

Set this equal to the given perimeter (94) and solve for x.

2x+34 = 94

2x = 94-34

2x = 60

x = 60/2

x = 30

The TV is 30 inches wide

5 0
2 years ago
I need help asap!!!!!!!!!!!!!
Tatiana [17]

Answer:

Step-by-step explanation:

7 0
3 years ago
Answer all 3 please will mark as brainiest
steposvetlana [31]

Answer:

1a. -4 3/5

1b. -4 3/5

2. 33

Step-by-step explanation:

1a. -4 4/5 + 1/5 = -4 3/5

1b. -4 2/5 + (-1/5) = -4 3/5

2. (-16 -35) + 18 = -33

You would need to draw the number 33 to get a score of 0.

5 0
3 years ago
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